Respuesta :
Answer:
The points (12,3), (-2,-5) and (1,15) through which the line can pass.
Step-by-step explanation:
A line passes through the point (0, –1) and has a positive slope.
(i) The slope of the line passing through the points (0,-1) and (12,3) will be
[tex]\frac{- 1 - 3}{0 - 12} = \frac{1}{3} > 0[/tex]
(ii) The slope of the line passing through the points (0,-1) and (-2,-5) will be
[tex]\frac{- 1 + 5}{0 + 2} = 2 > 0[/tex]
(iii) The slope of the line passing through the points (0,-1) and (- 3,1) will be
[tex]\frac{- 1 - 1}{0 + 3} = - \frac{2}{3} < 0[/tex]
(iv) The slope of the line passing through the points (0,-1) and (1,15) will be
[tex]\frac{- 1 - 15}{0 - 1} = 16 > 0[/tex]
(v) The slope of the line passing through the points (0,-1) and (5,-2) will be
[tex]\frac{- 1 + 2}{0 - 5} = - \frac{1}{5} < 0[/tex]
Therefore, the points (12,3), (-2,-5) and (1,15) through which the line can pass. (Answer)
